View source for Machine taper

{{Short description|System for securing cutting tools or toolholders in a spindle}}
{{Use dmy dates|date=May 2022}}
[[File:ChuckDrillKeyedKeylessArbor.jpg|thumb|Drill chucks mounted by Jacobs tapers onto arbors with Morse tapers for the spindle.]]
[[File:Taper spindle nose with threaded retention.jpg|thumb|Spindle nose on a lathe headstock. The small female taper is a Morse taper to take a [[lathe center]] or a tool such as a twist drill. The large male taper takes a lathe chuck, which is retained by the large nut.]]

A '''machine taper''' is a system for securing [[cutting tool (machining)|cutting tools]] or toolholders in the [[spindle (tool)|spindle]] of a [[machine tool]] or [[power tool]]. A [[gender of connectors and fasteners|male]] member of [[cone|conical]] form (that is, with a [[wikt:taper#Noun|taper]]) fits into the female socket, which has a matching taper of equal [[angle]].

Almost all machine tool spindles, and many power tool spindles, have a taper as their primary method of attachment for tools. Even on many [[drill press]]es, handheld [[drill]]s, and lathes, which have [[chuck (engineering)|chucks]] (such as a [[drill chuck]] or [[collet|collet chuck]]), the chuck is attached by a taper. On drills, drill presses, and [[milling machine]]s, the male member is the tool shank or toolholder shank, and the female socket is integral with the spindle. On [[lathe]]s, the male may belong to the tool or to the spindle; spindle noses may have male tapers, female tapers, or both.

== Explanation ==
[[Machine tool]] operators must be able to install or remove tool bits quickly and easily. A [[Lathe (tool)|lathe]], for example, has a rotating spindle in its headstock, to which one may want to mount a spur drive or work in a [[collet]]. Another example is a [[drill press]], to which an operator may want to mount a bit directly, or using a drill chuck.

Virtually all [[milling machines]], from the oldest manual machines up to the most modern [[CNC]] machines, use tooling that is piloted on a tapered surface.

The machine taper is a simple, low-cost, highly [[repeatability|repeatable]], and versatile tool mounting system. It provides [[indexing (motion)|indexability]], as tools can be quickly changed but are [[accuracy and precision|precisely]] located both concentrically and axially by the taper. It also allows high [[power transmission]] across the interface, which is needed for milling.

Machine tapers can be grouped into '''self-holding''' and '''self-releasing''' classes. With self-holding tapers, the [[gender of connectors and fasteners|male and female]] wedge together and bind to each other to the extent that the forces of drilling can be resisted without a drawbar, and the tool will stay in the spindle when idle. It is driven out with a wedge when a tool change is needed. [[#Morse|Morse]] and [[#Jacobs|Jacobs]] tapers are an example of the self-holding variety. With self-releasing tapers, the male will not stick in the female without a drawbar holding it there. However, with good drawbar force, it is very solidly immobile. [[#NMTB taper family|NMTB/CAT]], BT and [[#HSK taper|HSK]] are examples of the self-releasing variety.

For light loads (such as encountered by a lathe tailstock or a drill press), tools with self-holding tapers are simply slipped onto or into the spindle; the pressure of the spindle against the workpiece drives the tapered shank tightly into the tapered hole. The friction across the entire surface area of the interface provides a large amount of [[torque]] transmission, so that splines or keys are not required.

For use with heavy loads (such as encountered by a milling machine spindle), there is usually a key to prevent rotation and/or a threaded section, which is engaged by a [[drawbar (machine tool)|drawbar]] that engages either the threads or the head of a pull stud that is screwed into them. The drawbar is then tightened, drawing the shank firmly into the spindle. The draw-bar is important on milling machines as the transverse force component would otherwise cause the tool to wobble out of the taper.

All machine tapers are sensitive to [[swarf|chips]], nicks (dents), and dirt. They will not locate accurately, and the self-holding variety will not hold reliably, if such problems interfere with the seating of the male into the female with firm contact over the whole conical surface. Machinists are trained on keeping tapers clean and handling them in ways that prevent them from being nicked by other tools. CNC tool-changing cycles usually include a compressed-air blast while one toolholder is being swapped with the next. The air blast tends to blow away chips that might otherwise end up interfering between the toolholder and spindle.

==Use==
Tools with a tapered shank are inserted into a matching tapered socket and pushed or twisted into place. They are then retained by friction.  In some cases, the friction fit needs to be made stronger, as with the use of a [[Drawbar (machine tool)|drawbar]], essentially a long bolt that holds the tool into the socket with more force than is possible by other means.{{Citation needed|date=October 2023}}

Caution needs to be exercised in the usual drilling machine or lathe situation, which provides no drawbar to pull the taper into engagement, if a tool is used requiring a high torque but providing little axial resistance. An example would be the use of a large diameter drill to slightly enlarge an existing hole. In this situation, there may be considerable rotary loading. In contrast, the cutting action will require very little thrust or feed force. Thrust helps to keep the taper seated and provides essential frictional coupling.

The tang is not engineered to withstand twisting forces which are sufficient to cause the taper to slip, and will frequently break off in this situation. This will allow the tool to spin in the female taper, which is likely to damage it. Morse taper reamers are available to alleviate minor damage.

Tapered shanks "stick" in a socket best when both the shank and the socket are clean. Shanks can be wiped clean, but sockets, being deep and inaccessible, are best cleaned with a specialized taper cleaning tool which is inserted, twisted, and removed.

Tapered shank tools are removed from a socket using different approaches, depending on the design of the socket.  In [[Pillar drill#Drill press|drill presses]] and similar tools, the tool is removed by inserting a wedge shaped block of metal called a "drift" into a rectangular shaped cross hole through the socket and tapping it.  As the cross section of the drift gets larger when the drift is driven further in, the result is that the drift, bearing against the foremost edge of the tang, pushes the tool out.  In many [[Tailstock|lathe tailstocks]], the tool is removed by fully withdrawing the quill into the tailstock, which brings the tool up against the end of the leadscrew or an internal stud, separating the taper and releasing the tool.   Where the tool is retained by a drawbar, as in some mill spindles, the drawbar is partially unthreaded with a wrench and then tapped with a hammer, which separates the taper, at which point the tool can be further unthreaded and removed. Some mill spindles have a captive drawbar which ejects the tool when actively unscrewed past the loose stage; these do not require tapping. For simple sockets with open access to the back end, a drift punch is inserted axially from behind and the tool tapped out.

==Types==
There are many standard tapers, which differ based on the following:
* the diameter at the small end of the truncated cone ("the minor diameter")
* the diameter at the large end of the truncated cone ("the major diameter") and
* the axial distance between the two ends of the truncated cone.

The standards are grouped into families that may include different sizes. The taper within a family may or may not be consistent. The Jarno and NMTB tapers are consistent, but the Jacobs and Morse families vary.

There are adaptors available to allow the use of one type of taper tooling, e.g. Morse, on a machine with a different taper, e.g. R8 or vice versa, and simpler adaptors consisting of an externally and internally tapered sleeve to allow a small Morse tool to be used in a machine of larger bore.

One of the first uses of tapers was to mount [[Drill bit#Morse taper shank drills|drill bits]] directly to machine tools, such as in the [[tailstock]] of a lathe, although later [[Chuck (engineering)#Drill|drill chucks]] were developed that held parallel shank drill bits.

===Brown & Sharpe===
[[Brown & Sharpe]] tapers, standardized by the company of the same name, are an alternative to the more-commonly seen Morse taper. Like the Morse, these have a series of sizes, from 1 to 18, with 7, 9 and 11 being the most common. Actual taper on these lies within a narrow range close to .500&nbsp;inches per foot (41.67&nbsp;mm per meter).

{| class="wikitable" style="min-width:30%; text-align: center;"
! Size
! Lg. Dia.
! Sm. Dia.
! Length
! Taper (in/ft)
! Taper (in/in)
|-
|1||0.2392||0.2000||0.94||0.5020||0.04183
|-
|2||0.2997||0.2500||1.19||0.5020||0.04183
|-
|3||0.3753||0.3125||1.50||0.5020||0.04183
|-
|4||0.4207||0.3500||1.69||0.5024||0.04187
|-
|5||0.5388||0.4500||2.13||0.5016||0.04180
|-
|6||0.5996||0.5000||2.38||0.5033||0.04194
|-
|7||0.7201||0.6000||2.88||0.5010||0.04175
|-
|8||0.8987||0.7500||3.56||0.5010||0.04175
|-
|9||1.0775||0.9001||4.25||0.5009||0.04174
|-
|10||1.2597||1.0447||5.00||0.5161||0.04301
|-
|11||1.4978||1.2500||5.94||0.5010||0.04175
|-
|12||1.7968||1.5001||7.13||0.4997||0.04164
|-
|13||2.0731||1.7501||7.75||0.5002||0.04168
|-
|14||2.3438||2.0000||8.25||0.5000||0.04167
|-
|15||2.6146||2.2500||8.75||0.5000||0.04167
|-
|16||2.8854||2.5000||9.25||0.5000||0.04167
|-
|17||3.1563||2.7500||9.75||0.5000||0.04167
|-
|18||3.4271||3.0000||10.25||0.5000||0.04167
|}

===Jacobs===
The Jacobs Taper (abbreviated JT) is commonly used to secure drill press chucks to an [[Mandrel|arbor]].  The taper angles are not consistent varying from 1.41° per side for No. 0 (and the obscure #{{frac|2|1|2}}) to 2.33° per side for No. 2 (and No. 2 short).

There are also several sizes between No. 2 and No. 3: No. 2 short, No. 6 and No. 33.

{| class="wikitable"
|-
!Taper
!Small End
!Big End
!Length
|-
!No. 0
|{{convert|0.22844|in|mm|abbr=on|sigfig=5}}||{{convert|0.2500|in|mm|abbr=on|sigfig=5}}||{{convert|0.43750|in|mm|abbr=on|sigfig=5}}
|-
!No. 1
|{{convert|0.33341|in|mm|abbr=on|sigfig=5}}||{{convert|0.3840|in|mm|abbr=on|sigfig=5}}||{{convert|0.65625|in|mm|abbr=on|sigfig=5}}
|-
!No. 2
|{{convert|0.48764|in|mm|abbr=on|sigfig=5}}||{{convert|0.5590|in|mm|abbr=on|sigfig=5}}||{{convert|0.87500|in|mm|abbr=on|sigfig=5}}
|-
!No. 2 Short
|{{convert|0.48764|in|mm|abbr=on|sigfig=5}}||{{convert|0.5488|in|mm|abbr=on|sigfig=5}}||{{convert|0.75000|in|mm|abbr=on|sigfig=5}}
|-
!#{{frac|2|1|2}}
|{{convert|0.625|in|mm|abbr=on|sigfig=5}}||{{convert|0.677|in|mm|abbr=on|sigfig=5}}||{{convert|1.055|in|mm|abbr=on|sigfig=5}}
|-
!No. 3
|{{convert|0.74610|in|mm|abbr=on|sigfig=5}}||{{convert|0.8110|in|mm|abbr=on|sigfig=5}}||{{convert|1.21875|in|mm|abbr=on|sigfig=5}}
|-
!No. 4
|{{convert|1.0372|in|mm|abbr=on|sigfig=5}}||{{convert|1.1240|in|mm|abbr=on|sigfig=5}}||{{convert|1.6563|in|mm|abbr=on|sigfig=5}}
|-
!No. 5
|{{convert|1.3161|in|mm|abbr=on|sigfig=5}}||{{convert|1.4130|in|mm|abbr=on|sigfig=5}}||{{convert|1.8750|in|mm|abbr=on|sigfig=5}}
|-
!No. 6
|{{convert|0.6241|in|mm|abbr=on|sigfig=5}}||{{convert|0.6760|in|mm|abbr=on|sigfig=5}}||{{convert|1.0000|in|mm|abbr=on|sigfig=5}}
|-
!No. 33
|{{convert|0.5605|in|mm|abbr=on|sigfig=5}}||{{convert|0.6240|in|mm|abbr=on|sigfig=5}}||{{convert|1.0000|in|mm|abbr=on|sigfig=5}}
|}

===Jarno===
Jarno tapers use a greatly simplified scheme. The rate of taper is 1:20 on diameter, in other words 0.600" on diameter per foot, .050" on diameter per inch.
Tapers range from a Number 2 to a Number 20. The diameter of the big end in inches is always the taper size divided by 8, the small end is always the taper size divided by 10 and the length is the taper size divided by 2. For example, a Jarno No. 7 measures 0.875" (7/8) across the big end. The small end measures 0.700" (7/10) and the length is 3.5" (7/2).

The system was invented by Oscar J. Beale of [[Brown & Sharpe]].

{| class="wikitable" style="text-align:center;"
|+ Jarno tapers
|-
! Taper
! Large end
! Small end
! Length
! Taper/<br />ft
! Taper/<br />in
! Angle from <br />center/°
|-
|  No. 2 || 0.2500|| 0.2000|| 1.00|| .6000|| .0500|| 1.4321
|-
| No. 3|| 0.3750|| 0.3000|| 1.50|| .6000|| .0500|| 1.4321
|-
| No. 4|| 0.5000|| 0.4000|| 2.00|| .6000|| .0500|| 1.4321
|-
| No. 5|| 0.6250|| 0.5000|| 2.50|| .6000|| .0500|| 1.4321
|-
| No. 6|| 0.7500|| 0.6000|| 3.00|| .6000|| .0500|| 1.4321
|-
| No. 7|| 0.8750|| 0.7000|| 3.50|| .6000|| .0500|| 1.4321
|-
| No. 8|| 1.0000|| 0.8000|| 4.00|| .6000|| .0500|| 1.4321
|-
| No. 9|| 1.1250|| 0.9000|| align="center" |4.50|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 10|| 1.2500|| 1.0000|| align="center" |5.00|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 11|| 1.3750|| 1.1000|| align="center" |5.50|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 12|| 1.5000|| 1.2000|| align="center" |6.00|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 13|| 1.6250|| 1.3000|| align="center" |6.50|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 14|| 1.7500|| 1.4000|| align="center" |7.00|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 15|| 1.8750|| 1.5000|| align="center" |7.50|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 16|| 2.0000|| 1.6000|| align="center" |8.00|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 17|| 2.1250|| 1.7000|| align="center" |8.50|| align="center" |.6000|| align="center" |.0500|| align="center" |1.4321
|-
| No. 18|| 2.2500|| 1.8000|| 9.00|| .6000|| .0500|| 1.4321
|-
| No. 19|| 2.3750|| 1.9000|| 9.50|| .6000|| .0500|| 1.4321
|-
| No. 20|| 2.5000|| 2.0000|| 10.00|| .6000|| .0500|| 1.4321
|}

===Morse===
[[File:Morse Taper No 2.jpg|thumb|Morse taper No. 2 (MT2)|250px]]

The Morse taper was developed by [[Stephen A. Morse]], based in New Bedford, Massachusetts, in the mid-1860s.<ref>[http://www.morsecuttingtools.com/cgi/CGPTABOUT?PAMENU=7_1 Morse Cutting Tools History] {{Webarchive|url=https://web.archive.org/web/20150510225214/http://www.morsecuttingtools.com/cgi/CGPTABOUT?PAMENU=7_1 |date=10 May 2015 }}.</ref> Since then, it has evolved to encompass smaller and larger sizes and has been adopted as a standard by numerous organizations, including the [[International Organization for Standardization]] (ISO) as ISO 296 and the [[German Institute for Standardization]] (DIN) as DIN 228–1. It is one of the most widely used types, and is particularly common on the shank of taper-shank twist drills and machine reamers, in the spindles of industrial drill presses, and in the tailstocks of lathes. The taper angle of the Morse taper varies somewhat with size but is typically 1.49 degrees (around 3 degrees included).

Some modular orthopedic total [[Hip replacement|hip implants]] use a Morse taper to mate components together.<ref>{{cite journal | pmid = 10829545 | volume=45 | issue=4 | title=The Morse taper junction in modular revision hip replacement—a biomechanical and retrieval analysis. | date=April 2000 | journal=Biomed Tech (Berl) | pages=105–9 | doi=10.1515/bmte.2000.45.4.105| last1=Schramm | first1=M. | last2=Wirtz | first2=D. C. | last3=Holzwarth | first3=U. | last4=Pitto | first4=R. P. | s2cid=21186374 }}</ref> Similarly, some [[dental implant]]s use a Morse taper to connect components.<ref>{{Cite book|title = Clinical and Laboratory Manual of Dental Implant Abutments|url = https://books.google.com/books?id=5b8BBAAAQBAJ|publisher = John Wiley & Sons|date = 9 July 2014|isbn = 9781118928530|language = en|first = Hamid R.|last = Shafie}}</ref>

====Sizes====
Morse tapers come in eight sizes identified by whole numbers between 0 and 7, and one half-size (4.5, which is less common, but used on some medium sized lathes where a slightly larger taper than MT4 is needed without jumping to the much larger MT5). Often the designation is abbreviated as "MT" followed by a digit, for example a Morse taper number 4 would be MT4 (another common abbreviation that comes from German is "MK" for Morsekegel). The MT2 taper is the size most often found in drill presses up to 13&nbsp;mm ({{frac|1|2}}") capacity. Stub (short) versions, the same taper angle but a little over half the usual length, are occasionally encountered for the whole number sizes from 1 through 5. There are standards for these, which among other things are sometimes used in lathe head stocks to preserve a larger spindle through-hole.

====End types====
Morse tapers are of the self-holding variety, and can have three types of ends:
* tang (illustrated) to facilitate Positive drive, preventing slippage<ref>{{cite book |last1=Judge |first1=Arthur W |title=Engineering Workshop Practice |date=1940–1950s |publisher=Caxton |pages=vol i 137 |edition=New and Revised }}</ref>
* threaded to be held in place with a [[Drawbar (machine tool)|drawbar]]
* flat (no tang or threaded section)

Self-holding tapers rely on a heavy preponderance of axial load over radial load to transmit high torques. Problems may arise using large drills in relation to the shank, if the pilot hole is too large. The threaded style is essential for any sideloading, particularly milling. The only exception is that such unfavourable situations can be simulated to remove a jammed shank. Permitting chatter will help release the grip. The acute (narrow) taper angle can result in such jamming with heavy axial loads, or over long periods.

End-milling cutters with a Morse taper shank with a tang are occasionally seen: for security these must be used with a C-collar or similar, fitting into the neck between cutter and shank, and pulling back against the large end of the taper.

The taper itself is roughly 52&nbsp;mm per meter (5/8" per foot, or just under 1.5 degrees), but exact ratios and dimensions for the various sizes of tang type tapers are given below.

====Dimensions====
[[File:Morse taper.svg|center|702x702px|taper]]

{| class="wikitable" style="text-align: center;"
|+ Morse taper dimensions [mm (in)]
|-----
! Morse taper number || Taper || A || B (max) || C (max) || D (max) || E (max) || F || G || H || J || K
|-----
| 0 || 1:19.212 || {{Convert|9.045|mm|in|abbr=unit}}|| {{Convert|56.5|mm|in|abbr=unit}}|| 59.5  || 10.5 || 6    || 4  || 1     || 3   || 3.9  || 1° 29' 27"
|-----
| 1 || 1:20.047 || {{Convert|12.065|mm|in|abbr=unit}}|| {{Convert|62|mm|in|abbr=unit}}|| 65.5  || 13 || 8.7  || 5  || 1.2   || 3.5 || 5.2  || 1° 25' 43"
|-----
| 2 || 1:20.020 || {{Convert|17.780|mm|in|abbr=unit}}|| {{Convert|75|mm|in|abbr=unit}}|| 80    || 16   || 13.5 || 6  || 1.6   || 5   || 6.3  || 1° 25' 50"
|-----
| 3 || 1:19.922 || {{Convert|23.825|mm|in|abbr=unit}}|| {{Convert|94|mm|in|abbr=unit}}|| 99    || 20   || 18.5 || 7  || 2     || 5   || 7.9  || 1° 26' 16"
|-----
| 4 || 1:19.254 || {{Convert|31.267|mm|in|abbr=unit}}||{{Convert|117.5|mm|in|abbr=unit}}
| 124   || 24   || 24.5 || 8  || 2.5   || 6.5 || 11.9 || 1° 29' 15"
|-----
| 4.5 || 1:19.128 || {{Convert|37.833|mm|in|abbr=unit}} || {{Convert|133.5 |mm|in|abbr=unit}} || 140 || 26.5 || 30.1 || 9 || 2.75 || 6.5 || 13.9 || 1° 29' 51"
|-----
| 5 || 1:19.002 || {{Convert|44.399|mm|in|abbr=unit}}|| {{Convert|149.5|mm|in|abbr=unit}}|| 156   || 29   || 35.7 || 10 || 3     || 6.5 || 15.9 || 1° 30' 26"
|-----
| 6 || 1:19.180 || {{Convert|63.348|mm|in|abbr=unit}}|| {{Convert|210|mm|in|abbr=unit}}|| 218   || 40   || 51   || 13 || 4     || 8   || 19   || 1° 29' 36"
|-----
| 7 || 1:19.231 || {{Convert|83.058|mm|in|abbr=unit}}|| {{Convert|285.75|mm|in|abbr=unit}}|| 294.1 || 34.9 || –    || –  || 19.05 || –   || 19   || 1° 29' 22"
|}

===B Tapers===

B-series tapers are a DIN standard (DIN 238) typically used for fitting chucks on their arbors, like the older Jacobs taper series. Each taper in the B-series is effectively the small or large end of a Morse taper:

:B10 = small end of MT1 (D = 10.095 mm)
:B12 = large end of MT1 (D = 12.065 mm)
:B16 = small end of MT2 (D = 15.733 mm)
:B18 = large end of MT2 (D = 17.780 mm)
:B22 = small end of MT3 (D = 21.793 mm)
:B24 = large end of MT3 (D = 23.825 mm)

The number after the B is the diameter (D) of the large end of the taper to the nearest mm, and 'about' 1mm larger than the large end of the socket (~2mm in the case of B22 and B24) <ref>{{Cite web |url=http://www.jacobschuck.com/MagentoShare/media/documents/jacobs-technical-information.pdf |title=Archived copy |access-date=2019-12-30 |archive-date=2019-12-30 |archive-url=https://web.archive.org/web/20191230150445/http://www.jacobschuck.com/MagentoShare/media/documents/jacobs-technical-information.pdf |url-status=dead }}</ref><ref>{{Cite web|url=http://www.arceurotrade.co.uk/projects/Info/Drill-Chuck-Taper-Dimensions.html|title = Drill Chuck Taper Dimensions}}</ref><ref>{{Cite web| url=http://eshop.roehm.biz/media/attachment/file/d/c/dc0001765.pdf | title=Taper shank arbors for drill chucks | access-date=2019-07-02 | archive-date=2019-07-02 | archive-url=https://web.archive.org/web/20190702234948/http://eshop.roehm.biz/media/attachment/file/d/c/dc0001765.pdf | url-status=dead}}</ref>

===NMTB taper family===
The [[National Machine Tool Builders Association]] (now called the Association for Manufacturing Technology) defined a steep taper that is commonly used on milling machines. The taper is variously referred to as NMTB, NMT or NT. The taper is 3.500&nbsp;inches per foot and is also referred to as "7 in 24" or 7/24; the computed angle is 16.5943 degrees.<ref>The angle of the cone is {{math|2&nbsp;atan(7/48)}}.</ref> All NMTB tooling has this taper but the tooling comes in different sizes: NMTB-10, 15, 20, 25, 30, 35, 40, 45, 50 and 60.  These tapers were apparently also specified in ASA (now ANSI) B5.10-1943.

NMTB is a "self releasing" or "fast" taper.  Unlike the more acute self holding tapers above, such tapers are not designed to transmit high torque; high torques are carried by driving keys engaging slots on the flange.<ref>{{citation |last=Burlingame |first=Luther D. |title=Standards for Large Taper Shanks and Sockets |journal=Journal of the American Society of Mechanical Engineers |date=December 1918 |volume=40 |issue=12 |pages=1014–1016 |url=https://books.google.com/books?id=HohNAAAAYAAJ&pg=PA1014 |quote=As shown in Table 1, the well-established tapers for shanks and sockets now in use vary from {{frac|1|2}} in. to 1 in. or more per ft., the tendency being to use a somewhat steeper taper for the larger than for the small sizes, perhaps because with small tapers, the liability to slip produced by the work is not so great and the "bite" of the taper when forced into the socket is sufficient to secure effective driving.  In the larger sizes, tenons or tongues must be provided to aid in driving and in the still larger sizes keys of some form are needed, as, unless the angle of taper is very slight, the tenons are liable to be twisted off.  When such auxiliary means of driving is provided the taper can be made steeper, giving the advantage that the parts can be more easily separated.}}</ref><ref>{{harvnb|Armitage|Kearney|Graves|Nenninger|1931|p=3}} stating, "The [tool shank] is now firmly coupled with the spindle, the complementary tapered portions serving to insure accurate axial alignment while the complementary keys and slots serve to drive the [tool shank] from the spindle in either direction of rotation and the [drawbar] retains the [tool shank] firmly seated in such position."</ref> The purpose is to allow a quick and easy change between different tools (either automatically or by hand) while ensuring the tool or toolholder will be tightly and rigidly connected to the spindle, and accurately coaxial with it. The larger end adjacent to the tool makes for more rigidity than is possible with Morse or R8 tapers fitted to comparable machines.

Patent 1794361 (filed 25 March 1927) describes milling machine spindle and tool shapes using a steep taper.<ref>{{cite patent |country=US |number=1794361 |title=Milling Machine Spindle and Tool |fdate=1927-03-25 |pubdate=1931-03-03 |inventor1-last=Armitage |inventor1-first=Joseph B. |inventor2-last=Kearney |inventor2-first=Edward J. |inventor3-last=Graves |inventor3-first=Benjamin P. |inventor4-last=Nenninger |inventor4-first=Lester F. }}</ref> The patent was assigned to [[Kearney and Trecker|Kearney & Trecker]] Corporation, [[Brown & Sharpe]], and [[Cincinnati Milling Machine Company]]. The patent wanted a taper that would freely release the tool and found that a taper of 3.5 in 12 had that property.<ref name="patentp2">{{harvnb|Armitage|Kearney|Graves|Nenninger|1931|p=2}}</ref> The patent also used the keys and slots and a tail on the tool shank to prevent the tool shank from falling out of a horizontal mill's spindle while the operator connected the drawbar.<ref name="patentp2" />

ANSI B5.18-1972 specifies some essential dimensions for milling machine spindles and tool shanks using taper sizes 30, 40, 45, 50, 60.<ref>{{citation |title=Machinery's Handbook |edition=22nd |pages=1748–1752 |publisher=Industrial Press |year=1987 |isbn=0-8311-1155-0}}</ref> The specifications describe the position of the driving key and flange and the thread of the drawbar bolt that holds the shank in the spindle.

The tooling is referred to as Quick Change; National Machine Tool Builders' Association, 1927; NMTB; American Standard Machine Taper, ANSI B5.18; DIN 2080 / IS 2340; ISO R 290–2583.<ref name="gizmos">{{Cite web|url=http://www.tools-n-gizmos.com/specs/Tapers.html|title = Machine Tool Shanks (Tapers)}}</ref> There are slight variations in threads and flanges (JIS B 6339: MAS 403); and the European standards (e.g., '''ISO taper,''' DIN 2080) use metric drawbar threads. Aside from the drawbar threads the above standards are physically compatible with each other in most cases.

The NMTB tool shanks had the 7 in 24 taper, but they also had a constant diameter tail (pilot) at the end of the shank that was described in the 1927 patent.

==== NMTB derivatives ====
[[File:1941-G.jpg|thumb|Toolholder for milling machine with CAT-40 taper.]]Subsequent design variations dropped the tail (making the shank shorter) and put a V-groove in the flange that aided automated tool changing. Modern designs started using power drawbars that gripped pull studs (also known as retention knobs) that were screwed into the tool shank rather than screw-in drawbars. The power drawbar would grip the pull stud rather than screwing into the tool shank, allowing for faster automatic tool changes.

The more modern toolholder designs became known as the Caterpillar "V-Flange", CAT, V-Flange, (ANSI B5.50,) this was later codified under ISO 7388-1.

Other derivatives include:

* SK (DIN ISO 7388-1)-very similar but require modifications to be interchangeable with CAT-V/ANSI B5.50. Both designs are included under ISO 7388-1.
* ISO, International (INT), 
* BT (MAS 403/ JIS B6339 / ISO 7388-2)- Japanese originated standard, derivative of ANSI B5.50. This is most common toolholder design used in east Asia. Also not readily compatible with CAT-V. They can be hand-loaded into cat-V spindle if a pull-stud adapter with metric threads is used, but do not work with tool changers used for the same.

Once again, there are modest variations in the tooling.<ref name="gizmos" /> Although the basic taper dimensions are the same, there are differences in the flanges, v-groove sizes, drive keyways, and pull stud dimensions; the international versions use metric sizes, and metric stud threads particularly.

===HSK taper===
[[File:DIN 69893 HSK A63 3drender 1.png|thumb|HSK A63 shank]]
[[File:DIN 69893 hsk 63a drawing.png|thumb|Drawing of HSK A63 shank]]
[[File:DIN 69893 hsk 63a.svg|thumb|Animation of HSK toolholder]]
HSK toolholders were developed in the early 1990s. HSK stands for ''[[:de:Hohlschaftkegel|Hohlschaftkegel]]''; German for "hollow shank tapers".

Steep tapers (e.g., NMTB and derivatives) tend to lose rigidity and accuracy at high speed, as their solid shanks are stiffer than the spindles they fit into. Under high centrifugal force, the spindle expands more than the toolholder which changes the overall length: That is, as the spindle spreads outward, the toolholder tends to move deeper into the spindle along the z-axis, which can cause the production of parts that are out-of-tolerance. Moreover, the thinnest part of the spindle interface is the front shoulder, which tends to expand the most. This zone engages the stiffest part of the holder where radial forces are also the highest. This significantly reduces the stiffness of the spindle interface allowing more deflection of the holder under cutting load, particularly with long tools. The holder can "rock" or "walk" slightly from side to side, by way of elastic deformation. Usually this causes poor runout accuracy, more chatter, and unduly short tool life. In the most extreme case it can cause [[Fretting]] wear on the spindle surface due to slight relative motion of the holder against the female interface.

HSK's hollow shank is deliberately thin and flexible, so it expands more than the spindle and tightens when rotating at high speed. Furthermore, the HSK holder is dual contact: It engages with the spindle on both the taper and the top of the flange which resists axial movement when thermal growth and/or centrifugal force of the spindle occurs.

The flexibility is also used to provide accurate axial location.  An HSK toolholder has both a tapered shank, and a flange with a mating surface.  The shank is short (about half as long as other machine tapers), with a shallow taper, the shank is 1:9.98 and the receiver is 1:10,<ref>{{Cite web| title=Hollow taper interface with flange contact surface — Part 2: Receivers — Dimensions | url=https://cdn.standards.iteh.ai/samples/30047/0d69dfa9f1824a50a3d1cb0b24a93171/ISO-12164-2-2001.pdf | archive-url=https://web.archive.org/web/20240505022348/https://cdn.standards.iteh.ai/samples/30047/0d69dfa9f1824a50a3d1cb0b24a93171/ISO-12164-2-2001.pdf | archive-date=2024-05-05}}</ref> and slightly too large to allow the flange to seat fully in the socket.  The thin walls, short shank and shallow taper provide a large opening in the back of the tool.  An expanding collet fits in there, and mates with 30° chamfer inside the shank.  As the drawbar retracts, it expands the collet and pulls the shank back into the socket, compressing the shank until the flange seats against the front of the spindle.  This provides a stiff, repeatable connection because it utilizes the centrifugal force inside the spindle for security and rigidity. As centrifugal forces increase the expanding collet within the HSK forces the walls of the toolholder shank to stay in contact with the spindle wall.

The HSK design was developed as a nonproprietary standard. The working group that produced the HSK standard consisted of representatives from academia, the Association of German Tool Manufacturing and a group of international companies and end users. The results were the German [[DIN]] standards 69063 for the spindle and 69893 for the shank.
The HSK working group did not adopt a specific product design, but rather a set of standards that defined HSK toolholders for different applications. The group defined a total of six HSK shank forms, in 9 sizes.

Sizes are identified by the diameter of the shank's flange in millimeters. These diameters are taken from the R10′ series of [[preferred number]]s, from 25 to 160&nbsp;mm.

Today, the shank forms are designated by the letters A through F and T. The main differences between the forms are the positions of the drive slots, gripper-locating slots, coolant holes and the area of the flange.
{| class="wikitable"
|+ HSK forms A, C, E Nominal Dimensions<ref name="guhring.com">https://www.guhring.com/media/InteractiveCatalog/0liycdytcrk/index.html#p=288, Guhaing Catalog Supplier</ref>
|-
! d1 mm || forms || d2 mm || l1 mm || l2 mm || f1 mm || f5 mm || d8 || b1
|-
| 20 || E || 15.203 || 10 || 2.0 || 8 || - || - || - 
|-
| 25 || A, C, E || 19.006 || 13 || 2.5 || 10 || - || - || - 
|-
| 32 || A, C, E || 24.007 || 16 || 3.2 || 20 || 10.0 || 4.0 || 7.05 
|-
| 40 || A, C, E || 30.007 || 20 || 4.0 || 20 || 10.0 || 4.6 || 8.05 
|-
| 50 || A, C, E || 38.009 || 25 || 5.0 || 26 || 12.5 || 6.0 || 10.54 
|-
| 63 || A, C, E || 48.010 || 32 || 6.3 || 26 || 12.5 || 7.5 || 12.54 
|-
| 80 || A, C || 60.012 || 40 || 8.0 || 26 || 16.0 || 8.5 || 16.04 
|-
| 100 || A, C || 75.013 || 50 || 10.0 || 29 || 16.0 || 12.0 || 20.02 
|-
| 125 || A, C || 95.016 || 63 || 12.5 || 29 || - || - || 25.02 
|-
| 160 || A, C || 120.016 || 90 || 16.0 || 31 || - || - || 30.02 
|}
{| class="wikitable"
|+ HSK forms B, D, F Nominal Dimensions<ref name="guhring.com"/>
|-
! d1 mm || forms || d2 mm || l1 mm || l2 mm || f1 mm || d8 || b1
|-
| 25 || - || - || - || - || - || - || - 
|-
| 32 || - || - || - || - || - || - || - 
|-
| 40 || B, D || 24.007 || 16 || 3.2 || 20 || 4.0 || 10 
|-
| 50 || B, D, F || 30.007 || 20 || 4.0 || 26 || 4.6 || 12 
|-
| 63 || B, D, F || 38.009 || 25 || 5.0 || 26 || 6.0 || 16 
|-
| 80 || B, D, F || 48.010 || 32 || 6.3 || 26 || 7.5 || 18 
|-
| 100 || B, D || 60.012 || 40 || 8.0 || 29 || 8.5 || 20 
|-
| 125 || B, D || 75.013 || 50 || 10.0 || 29 || 12.0 || 25 
|-
| 160 || B, D || 95.016 || 63 || 12.5 || 31 || 12.0 || 32 
|}

A is the basic form.  The B-form shank is a variant for high-torque applications, and has a flange one size larger relative to its shaft diameter.  (Thus, an A-40 shank will fit into a B-50 socket.)

Forms C and D are simplified variants of A and B for manual use, eliminating features to accommodate automatic tool changers like a V-groove and associated orientation slots, and a recess for an RFID chip.

Forms E and F flanges and tapers are similar to forms A and B, but designed for very high speed machining (20,000&nbsp;rpm and up) of light materials by eliminating all asymmetric features to minimize imbalance and vibration.

[[ASME B5]].62 "Hollow Taper Tooling With Flange-Face Contact"<ref>Hollow Taper Tooling With Flange-Face Contact, ASME [https://www.asme.org/products/codes-standards/b562m-2016-hollow-taper-tooling-flangeface B5.62], American Society of Mechanical Engineers</ref> and ISO 12164-3:2014 "Dimensions of shanks for stationary tools"<ref>[https://www.iso.org/standard/60399.html ISO 12164-3:2014] "Hollow taper interface with flange contact surface—Part 3: Dimensions of shanks for stationary tools"</ref> include an additional form T, which is bidirectionally compatible with form A, but has a much tighter tolerance on the widths of the keys and keyways used for angular alignment.  This permits non-rotating [[lathe]] tooling to be held accurately.<ref>{{cite web |title=What is HSK-T? |date=9 October 2014 |publisher=NT Tool Co. |url=http://www.nttool.com/support/catalog/en_6_hsk_t.pdf |access-date=2018-02-09}}</ref>

An HSK connection depends on a combination of axial clamping forces and taper-shank interference. All these forces are generated and controlled by the mating components' design parameters. The shank and spindle both must have precisely mating tapers and faces that are square to the taper's axis. There are several HSK clamping methods. All use some mechanism to amplify the clamping action of equally spaced collet segments. When the toolholder is clamped into the spindle, the drawbar force produces a firm metal-to-metal contact between the shank and the ID of the clamping unit. An additional application of drawbar force positively locks the two elements together into a joint with a high level of radial and axial rigidity. As the collet segments rotate, the clamping mechanism gains centrifugal force. The HSK design actually harnesses centrifugal force to increase joint strength. Centrifugal force also causes the thin walls of the shank to deflect radially at a faster rate than the walls of the spindle. This contributes to a secure connection by guaranteeing strong contact between the shank and the spindle. The automotive and aerospace industries are the largest users of HSK toolholders. Another industry that is seeing increasing use is the mold and die industry.

=== PSC ===
PSC stands for "Polygonal Shank Conical." Originally developed in 1989 by Ken Andersson working for the Swedish machine tool company [[Sandvik Coromant|Sandvik Coromant AB]]. PSC was introduced by Sandvik at the 1990 [[International Manufacturing Technology Show|IMTS]] in Chicago, under the brand name "Capto."<ref>{{Cite web |title=Polygon Power |url=https://www.ctemag.com/articles/polygon-power |access-date=2024-03-22 |website=www.ctemag.com |language=en}}</ref> In the early 2000s as various patent protections were set to expire, Sandvik was faced with the prospect of sub-standard copies being produced that mated poorly with previously sold Capto branded tooling and that produced by their licensees. Therefore, Sandvik sought certification for the style of interface from ISO international in the mid-2000s. In 2007 PSC was published under ISO 26623. Thus, toolholders and spindles that conform to ISO 26623 are fully compatible with brand name Capto tooling.

PSC shares several design features of HSK such as a short hollow shank, additional contact of the flange with the face of the female spindle interface, and clamping by an internal expanding collet. However PSC features a unique non-circular shank with a cross sectional resembling a Reuleax Triangle with filleted corners, while the hollow central counterbore is cylindrical. PSC also features a shallow 2.88° taper of the triangular shank compared to  5.72°(1:10) of HSK. One aspect PSC shares with NMTB styles, and differs from HSK, in having a more limited number of sizes that are near identical in form, since it is designed to have a wider range of application. This improves interchangeability.

Torque transmission is accomplished by means of pressure on the corners of the shank, rather than drive keys and/or friction between the spindle & shank. In addition to axial and radial rigidity, this provides better angular repeatability and improved torsional rigidity over other interfaces. Pressures resulting from applied torque improve rigidity because they are applied over a much larger area of the shank. The conical tapered shank allows a slight interference fit with the spindle rather than requiring a clearance for disassembly, improving angular repeatability.

PSC is popular for combination turn-mill centers with a single 3-4axis tool spindle and also CNC [[Turret lathe]]s due to its superior angular repeatability and off-axis torsional rigidity. It can support static/fixed off-axis turning tools and is also suitable for turret lathes with a large number of driven tool stations. This provides a single quick-change interface for both live cutters and static tools. It can replace conventional square or round shank static tools, resulting in a much faster setup time when swapping worn tools. PSC provides superior performance for live/driven boring heads, enabling higher feeds and better surface finishes.

PSC is available in the following sizes:

* C3 (PSC32)
* C4 (PSC40)
* C5 (PSC50)
* C6 (PSC63)
* C8 (PSC80)
* C10 (PSC100)

=== R8 ===
[[File:HardingeR8Collets.jpg|thumb|collets with R8 taper]]
This taper was designed by [[Bridgeport Machines, Inc.]] for use in its milling machines. R8 tapers are not self-holding, so they require a drawbar extending up through the spindle to the top of the machine to prevent loosening when lateral forces are encountered. They are also keyed (see image) to prevent rotation during insertion and removal, although it is the taper that transmits torque in use. The drawbar thread is typically {{frac|7|16}}″–20&nbsp;tpi ([[Unified Thread Standard|UNF]]). The angle of the cone is 16°51′ (16.85°) with an OD of 1.25″ and a length of {{frac|15|16}}″.<ref>[https://web.archive.org/web/20201124004851/https://www.oldengine.org/members/diesel/Tables/Clarkson3.htm Machine Tool Taper Dimensions: Bridgeport R8 & Deckel Int40]</ref> (source, Bridgeport Manufacturer) The diameter of the parallel locating portion is not a "fractional inch" size like the other dimensions and is 0.949″ to 0.9495″.

Tools with an R8 taper are inserted directly into the machine's spindle. R8 collets are typically used to hold tooling with round shanks, although any shape can be held if the collet has the corresponding shape cut in it. The collets have a precision bore with axial compression slots for holding cutting tools and are threaded for the drawbar. The R8 system is commonly used with collets ranging in size from {{frac|1|8}}″ to {{frac|3|4}}″ in diameter or tool holders with the same or slightly larger diameters. The collets or tool holders are placed directly into the spindle and the drawbar is tightened into the top of the collet or tool holder from above the spindle. Other tools such as drill chucks, fly cutters, indexable insert cutters, etc. may have an R8 taper shank built into or added to the tool.

The R8 taper is commonly encountered on Bridgeport and similar turret mills from the US, or on (very common) copies of these mills from elsewhere. The popularity is due in large part to the success of Bridgeport and other mills that were closely modeled after it and produced throughout much of the 20th century.

==See also==
* [[Chuck (engineering)|Chuck]]
* [[Collet]]
* [[Drawbar (machine tool)|Drawbar]]

==References==
{{Reflist}}
'''Sources'''
{{refbegin}}
* {{Citation
 |title=Machine Tools – Self-holding tapers for tool shanks
 |year=1991
 |publisher=ISO
 |id=ISO 296:1991
 |url= http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=4224
}}
{{refend}}

==External links==
* [http://www.beautifuliron.com/mttaper.htm Beautiful Iron Overview of Tapers]
* [https://web.archive.org/web/20060208104532/http://www.woodturners.org/tech_tips/morse_taper_sizes.htm Quickly Identify your Morse Taper]
* {{Cite web | title=Machine Tool Shanks (Tapers) | url=http://www.tools-n-gizmos.com/specs/Tapers.html | access-date=2025-06-25 | website=www.tools-n-gizmos.com}}
* {{Cite web | title=Questions | url=http://www.timgoldstein.com/CAD_CAM/tapers.htm | archive-url=https://web.archive.org/web/20110316155700/http://www.timgoldstein.com/CAD_CAM/tapers.htm | archive-date=2011-03-16 | access-date=2025-06-25}}
* {{Cite web | title=Steep Tapers & Fast Tapers: AT3 and What It Means - D-L Industrial Supply Inc. | url=http://www.dlindustrial.com/profiles/blogs/steep-tapers-fast-tapers-at3-and-what-it-means | archive-url=https://web.archive.org/web/20130608025337/http://www.dlindustrial.com:80/profiles/blogs/steep-tapers-fast-tapers-at3-and-what-it-means | access-date=2025-06-25 | archive-date=2013-06-08}}

{{Metalworking navbox|machopen}}
{{Woodworking}}

{{DEFAULTSORT:Machine Taper}}
[[Category:Machine tools]]
[[Category:Woodworking]]